数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1143-1153.doi: 10.1016/S0252-9602(10)60112-9

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LORENTZ MARTINGALE SPACES AND INTERPOLATION

范利萍1,2, 焦勇2, 刘培德2   

  1. 1. School of Mathematics and Information Science, Henan University, Kaifeng 475004, China;

    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2008-10-08 修回日期:2009-06-28 出版日期:2010-07-20 发布日期:2010-07-20

LORENTZ MARTINGALE SPACES AND INTERPOLATION

 FAN Li-Ping1,2, JIAO Yong2, LIU Pei-De2   

  1. 1. School of Mathematics and Information Science, Henan University, Kaifeng 475004, China;

    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2008-10-08 Revised:2009-06-28 Online:2010-07-20 Published:2010-07-20

摘要:

In this article, the authors introduce some new Lorentz spaces for martingales, which are extensions of Hardy spaces of martingales. Then they discuss their basic properties, embedding relationships, and interpolation spaces between them, during which the use of rearrangement good-λ-inequality plays an important role.

关键词: Martingale, Lorentz space, weight, interpolation

Abstract:

In this article, the authors introduce some new Lorentz spaces for martingales, which are extensions of Hardy spaces of martingales. Then they discuss their basic properties, embedding relationships, and interpolation spaces between them, during which the use of rearrangement good-λ-inequality plays an important role.

Key words: Martingale, Lorentz space, weight, interpolation

中图分类号: 

  • 60G42